27336 has 32 divisors (see below), whose sum is σ = 73440. Its totient is φ = 8448.

The previous prime is 27329. The next prime is 27337. The reversal of 27336 is 63372.

27336 = T₄₈ + T₄₉ + ... + T₆₄.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (27337) by changing a digit.

27336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (2295).

2²⁷³³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720).

27336 is an abundant number, since it is smaller than the sum of its proper divisors (46104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27336 is a wasteful number, since it uses less digits than its factorization.

27336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 27336 is about 165.3360214835. The cubic root of 27336 is about 30.1239317700.

Multiplying 27336 by its sum of digits (21), we get a triangular number (574056 = T₁₀₇₁).

It can be divided in two parts, 27 and 336, that added together give a palindrome (363).

The spelling of 27336 in words is "twenty-seven thousand, three hundred thirty-six".